Search a number
-
+
1356638220 = 223457119633
BaseRepresentation
bin101000011011100…
…1010100000001100
310111112202100210000
41100313022200030
510234244410340
6342341244300
745422143320
oct12067124014
93445670700
101356638220
11636872413
1231a403690
131880a8a12
14cc265980
157e17bd30
hex50dca80c

1356638220 has 120 divisors (see below), whose sum is σ = 4863839904. Its totient is φ = 310086144.

The previous prime is 1356638203. The next prime is 1356638243. The reversal of 1356638220 is 228366531.

It is a happy number.

1356638220 is a `hidden beast` number, since 13 + 5 + 6 + 638 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48477 + ... + 71156.

Almost surely, 21356638220 is an apocalyptic number.

1356638220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356638220 is an abundant number, since it is smaller than the sum of its proper divisors (3507201684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1356638220 is a wasteful number, since it uses less digits than its factorization.

1356638220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119661 (or 119650 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1356638220 is about 36832.5700976731. The cubic root of 1356638220 is about 1107.0180004564.

The spelling of 1356638220 in words is "one billion, three hundred fifty-six million, six hundred thirty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 119633 239266 358899 478532 598165 717798 837431 1076697 1196330 1435596 1674862 1794495 2153394 2392660 2512293 3230091 3349724 3588990 4187155 4306788 5024586 5383485 6460182 7177980 7536879 8374310 9690273 10049172 10766970 12561465 12920364 15073758 16150455 16748620 19380546 21533940 22610637 25122930 30147516 32300910 37684395 38761092 45221274 48451365 50245860 64601820 67831911 75368790 90442548 96902730 113053185 135663822 150737580 193805460 226106370 271327644 339159555 452212740 678319110 1356638220